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Finding the Fourth Proportional to 177,076.33, 265,687.09 and 129,931.90

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Solution

The fourth proportional to 177,076.33, 265,687.09 and 129,931.90 is: 194,951.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,076.33 : 265,687.09 = 129,931.90 : x
  2. Step 2: Convert to fraction form
    177,076.33/265,687.09 = 129,931.90/x
  3. Step 3: Cross multiply
    177,076.33x = 265,687.09 × 129,931.90
  4. Step 4: Simplify right side
    177,076.33x = 34,521,227,420.12
  5. Step 5: Solve for x
    x = 34,521,227,420.12/177,076.33
  6. Step 6: Final answer
    x = 194,951.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.